A subclass of parabolic starlike and uniformly convex functions

Abstract: Let A be the class of analytic functions in the open unit disk U. A function f in A satisfying the normalization is said to be in the class SP n if D n f is a parabolic starlike function, where D n is a notation of the Salagean operator. In this paper, several basic properties and characteristics of the class SP n are investigated. These include subordination, convolution properties, class-preserving integral operators, and Fekete-Szegö problems. [Copyright &y& Elsevier]